1291525851060 has 192 divisors, whose sum is σ = 4032025804800. Its totient is φ = 343213697664.

The previous prime is 1291525850983. The next prime is 1291525851097. The reversal of 1291525851060 is 601585251921.

1291525851060 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 5 + 2 + 585 + 1 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1291525850997 and 1291525851015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212874147 + ... + 212880213.

It is an arithmetic number, because the mean of its divisors is an integer number (21000134400).

Almost surely, 2^{1291525851060} is an apocalyptic number.

1291525851060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1291525851060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016012902400).

1291525851060 is an abundant number, since it is smaller than the sum of its proper divisors (2740499953740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1291525851060 is a wasteful number, since it uses less digits than its factorization.

1291525851060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7387 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 1291525851060 in words is "one trillion, two hundred ninety-one billion, five hundred twenty-five million, eight hundred fifty-one thousand, sixty".